Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

The nonequilibrium response of a quantum many-body system defines its fundamental
transport properties and how initially localized quantum information spreads. However, for …

Tensor network states are used to approximate ground states of local Hamiltonians on a
lattice in D spatial dimensions. Different types of tensor network states can be seen to …

We develop in full detail the formalism of tangent states to the manifold of matrix product
states, and show how they naturally appear in studying time evolution, excitations, and …

In locally interacting quantum many-body systems, the velocity of information propagation is
finitely bounded, and a linear light cone can be defined. Outside the light cone, the amount …

We introduce a framework for characterizing Matrix Product States (MPS) and Projected
Entangled Pair States (PEPS) in terms of symmetries. This allows us to understand how …

We consider the Ising model in a transverse field with long-range antiferromagnetic
interactions that decay as a power law with their distance. We study both the phase diagram …